Разложите на многочлены: а) r^3s^4+r^4s^3; б) 20a^3x-15a^4x^2.

Question

Николай · Accepted Answer

По математике всегда имел твердую "2"

Татьяна Коровкина · Answer

+22

Кирилл Красноруженко · Answer

(d)/(dx)(20 a^3 x-15 a^4 x^2) = 10 a^3 (2-3 a x)

integral (20 a^3 x-15 a^4 x^2) dx = 5 a^3 (2 x^2-a x^3)+constant

$max{20 a^3 x-15 a^4 x^2} = (20 a^2)/3 at x = piecewise | 0 | a = 0 2/(3 a) | (otherwise)$

http://www4a.wolframalpha.com/Calculate/MSP/MSP8161e535d38hc87669600003ebe0g3g417i5ea5?MSPStoreType=image/gif&s=41&w=311.&h=55." alt=" integral integral_(a^2+x^2 integral_(-L)^L integral_(-L)^L (20 a^3 x-15 a^4 x^2) dx da = -4 L^8

integral_(-L)^L integral_(-L)^L (20 a^3 x-15 a^4 x^2) dx da = -4 L^8

(d)/(dr)(r^3 s^4+r^4 s^3) = r^2 s^3 (4 r+3 s)

integral (r^4 s^3+r^3 s^4) dr = s^3 (r^5/5+(r^4 s)/4)+constant

integral_(-L)^L integral_(-L)^L (r^4 s^3+r^3 s^4) ds dr = 0